Question

how many laws of exponents​

Answer 1

There Are 3 Laws Of Exponents:

1st Law:(Product Law)

${a}^{m} \times {a}^{n} \\ = {a}^{m + n}$

Example

${a}^{2} \times {a}^{6} \\ = {a}^{2 + 6} \\ = {a}^{8}$

2nd Law:(Quotient Law)

$\frac{a^{n} }{a^{m} } \\ = {a}^{m - n}$

Example

$\frac{a^{4} }{a ^ {2} } \\ \\ = {a}^{4 - 2} \\ = {a}^{2}$

3rd Law:(Power Law)

$({a}^{m} )^{n} \\ = {a}^{mn}$

Example

$( {a}^{3} )^{4} \\ = {a}^{3 \times 4} \\ = {a}^{12}$

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Answer 2

Given :  Laws of exponents

To Find : Mentions Laws of exponents

Solution:

xᵃ/xᵇ  = xᵃ⁻ᵇ

(xᵃ)ᵇ  = xᵃᵇ

xᵃ.xᵇ = xᵃ⁺ᵇ

aⁿ.bⁿ = (ab)ⁿ

aⁿ/bⁿ  = (a/b)ⁿ

a⁰ = 1

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